Characterizations of knot groups and knot symmetric quandles of surface-links

Key Points

• Knot groups and symmetric quandles reveal new algebraic structures in surface-links, enhancing theoretical understanding.
• The study indicates that knot groups provide key information about their topological properties, specifically in surface-links.
• Analysis using homotopy and algebraic invariants explores deep interactions between knots and their corresponding surface structures.
• These findings support further exploration of knot theory, highlighting potential applications in higher-dimensional topology.